What is the Least Common Multiple of 88855 and 88863?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 88855 and 88863 is 7895921865.
LCM(88855,88863) = 7895921865
Least Common Multiple of 88855 and 88863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88855 and 88863, than apply into the LCM equation.
GCF(88855,88863) = 1
LCM(88855,88863) = ( 88855 × 88863) / 1
LCM(88855,88863) = 7895921865 / 1
LCM(88855,88863) = 7895921865
Least Common Multiple (LCM) of 88855 and 88863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88855 and 88863. First we will calculate the prime factors of 88855 and 88863.
Prime Factorization of 88855
Prime factors of 88855 are 5, 13, 1367. Prime factorization of 88855 in exponential form is:
88855 = 51 × 131 × 13671
Prime Factorization of 88863
Prime factors of 88863 are 3, 19, 1559. Prime factorization of 88863 in exponential form is:
88863 = 31 × 191 × 15591
Now multiplying the highest exponent prime factors to calculate the LCM of 88855 and 88863.
LCM(88855,88863) = 51 × 131 × 13671 × 31 × 191 × 15591
LCM(88855,88863) = 7895921865
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